Application of simplified vector Preisach model to vector magnetizing process

A series of measurements has shown that when a material is increasingly mag netized in a given direction, the magnetization perpendicular to this direc tion decreases to zero. A simplified vector Preisach model, an example of a coupled-hysteron model, has been introduced that incorporates this propert y into the vector model. In addition, this model satisfies the saturation p roperty and the loss property. It can correctly compute scalar loops, since it is based upon the moving model, which properly corrects the congruency property, and it can incorporate the accommodation model and the aftereffec t model to correct the deletion property. In three dimensions, the vector m agnetization is computed from the integration of the product of a state vec tor, Q, and a Preisach function, p, both of which are defined in a six-dime nsional Preisach space. The e's are compared following selection rules dete rmined by the applied field. This paper illustrates the calculation procedu res for a complex magnetizing process. A material sample is subjected to a saturating field that is then reduced to zero. The field is then increased in an arbitrary direction while the vector magnetization is measured. Since the model parameters are only determined along the principal axes, the pre dictive capability of the model is thereby demonstrated. The predicted resu lts of the model compare favorably to the results of experimental measureme nts. (C) 2000 Elsevier Science B.V. All rights reserved.